Biologists want to know how many fish are in a certain lake. On January 1, they removed 600 fish from the lake and tagged them. On February 1, they returned to the lake and collected a random sample of 250 fish, of which 15 had been previously tagged. Approximately how many fish does the lake have, based on this experiment?

Question

Mike Castaneda

Mathematics

12 May, 19:56

Biologists want to know how many fish are in a certain lake. On January 1, they removed 600 fish from the lake and tagged them. On February 1, they returned to the lake and collected a random sample of 250 fish, of which 15 had been previously tagged. Approximately how many fish does the lake have, based on this experiment?

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Rogelio Mcconnell · Answer 1

So we are assuming ratio and proporion

tagged:all=?:600

then we will assume a proportional sample

out of 250, 15 were tagged

so

250:15=?:600

250/15=?/600

50/3=?/600

times both sides by 600

30000/3=?

10000=?

10000 fish